From the soc.feminism Terminologies FAQ compiled in 1993 by Cindy Tittle Moore, here is a following non-exhaustive list of feminisms (read fuller descriptions at the given link to clarify concepts). Asterisked notes are mine. Some of the following groups are very small compared to the major strands of modern feminism:

* Just as not all feminists are lesbians, not all lesbians are feminists. It’s a “correlation, not causation” thing, and not an easily distinguished movement as such either.
** Essentially media inventions rather than meaningful classifications.

There are important new movements not included in the list above, particularly the Radical Women of Colour movement and the many non-Western national/ethnic feminist movements, which have all been caught up in the single classification “Feminism and Women of Colour” above.

The Father’s Rights Movement has grown greatly since the soc.feminism FAQ was compiled, and is probably now the largest cohesive Men’s Movement.

Further reading into the differing details of these movements will be added to this post as time allows. I especially apologise for the US-centricity of the list thus far, (and me an Aussie!) and hope to add more information on other feminisms around the world.(Update: national/ethnic feminist movement directory now added above) Feel free to leave links to distinctive voices characterising one or more of these movements in the comments.